Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bz |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57507840 |
Modular degree for the optimal curve |
Δ |
5927106793587890625 = 32 · 59 · 1110 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13494313313,-603358044067008] |
[a1,a2,a3,a4,a6] |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
1.7929645307312 |
L(r)(E,1)/r! |
Ω |
0.014007539548464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595d1 10725f1 |
Quadratic twists by: 5 -11 |